On shape dependence of holographic mutual information in AdS4
Entity
UAM. Departamento de Física TeóricaPublisher
SISSA; Springer VerlagDate
2015-02-02Citation
10.1007/JHEP02(2015)005
Journal of High Energy Physics 2015.2 (2015): 5
ISSN
1126-6708 (print); 1029-8479 (online)DOI
10.1007/JHEP02(2015)005Funded by
L.G. has been supported by The Netherlands Organization for Scientific Research (NWO/OCW). A.S. has been supported by the Spanish Ministry of Economy and Competitiveness under grant FPA2012-32828, Consolider-CPAN (CSD2007-00042), the grant SEV-2012-0249 of the “Centro de Excelencia Severo Ochoa” Programme and the grant HEPHACOS-S2009/ESP1473 from the C.A. de Madrid. E.T. has been supported by the ERC under Starting Grant 279391 EDEQSProject
Gobierno de España. FPA2012-32828; Comunidad de Madrid. S2009/ESP-1473/HEPHACOS; Gobierno de España. SEV-2012-0249; info:eu-repo/grantAgreement/EC/FP7/279391Editor's Version
http://dx.doi.org/10.1007/JHEP02(2015)005Subjects
Gauge-gravity correspondence; AdS-CFT correspondence; FísicaNote
Journal of High Energy Physics 2015.2 (2015): 005 reproduced by permission of Scuola Internazionale Superiore di Studi Avanzati (SISSA)Rights
© 2015, The Author(s)Abstract
We study the holographic mutual information in AdS4 of disjoint spatial domains in the boundary which are delimited by smooth closed curves. A numerical method which approximates a local minimum of the area functional through triangulated surfaces is employed. After some checks of the method against existing analytic results for the holographic entanglement entropy, we compute the holographic mutual information of equal domains delimited by ellipses, superellipses or the boundaries of two dimensional spherocylinders, finding also the corresponding transition curves along which the holographic mutual information vanishes
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Google Scholar:Fonda, Piermarco
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Giomi, Luca
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Salvio, Alberto
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Tonni, Erik
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